Nuclear & Particle Physics Seminar - Mr. Samuel Brensinger, Dpeartment of Mathematics, The University of Iowa

Feb 11, 2019

01:30 PM

Van Allen Hall, 618 VAN

30 North Dubuque Street, North Liberty, IA 52317

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"The Spin Connection in Thomas-Whitehead Gravity" by Mr. Samuel Brensinger, Department of Mathematics, The University of Iowa

Abstract:  In general relativity, two spacetime connection have the same family of geodesic curves (up to reparametrization), if and only if, the connections are related by a projective transformation.  Indeed, the theory of general relativity determines the geometry of spacetime only up to this projective symmetry.  Thomas-Whitehead gravity is a theory of gravitation which takes advantage of projective invariance by introducing a dynamical field called the diffeomorphism field.  We investigate some properties fo the Thomas-Whitehead connection applied to vectors, arbitrary tensors, and spinors.

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